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Find feasible solution for the following system of linear inequation graphically. 3x + 4y ≥ 12, 4x + 7y ≤ 28, x ≥ 0, y ≥ 0 - Mathematics and Statistics

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Question

Find feasible solution for the following system of linear inequation graphically.

3x + 4y ≥ 12, 4x + 7y ≤ 28, x ≥ 0, y ≥ 0

Chart
Graph
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Solution

Corresponding equation Points on the X-axis Points on the Y-axis Region
3x + 4y = 12 (4, 0) (0, 3) Non-origin side
4x + 7y = 28 (7, 0) (0, 4) origin side

the shaded region is the feasible solution. 

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Chapter 7: Linear Programming - Miscellaneous exercise 7 [Page 243]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
Chapter 7 Linear Programming
Miscellaneous exercise 7 | Q II) 4) ii) | Page 243

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